1. (a)  a is a unit vector in the yz plane, having a negative z component. The y component of

        a is 0.8. Evaluate the z component of a. (3)

    (b) Write a in the i, j, k format (2)

(c) What is the tangent of the angle between a and the +z axis ? (3)

(d) b is also a unit vector. Its y and z components are (3/7) and (-3/7), respectively.

         Calculate the x component of b. (4)

(e) Use the dot product to evaluate the cosine of the angle between a and b. (6)

(f) What is the magnitude of the vector given by a x b ? (7)